fitExponential.m

Fitting with single exponential curve in the form of: yFit = yInf + (y0-yInf) * exp(-k*(x-x0))

% FITEXPONENTIAL fits a time series to a single exponential curve
% [k, yInf, y0] = fitExponential(x, y)
%
% The fitted curve reads: yFit = yInf + (y0-yInf) * exp(-k*(x-x0)).
% Here yInf is the fitted steady state value, y0 is the fitted initial
% value, and k is the fitted rate constant for the decay. Least mean square
% fit is used in the estimation of the parameters.
%
% Outputs:
% * k: Relaxation rate
% * yInf: Final steady state
% * y0: Initial state
% * yFit: Fitted time series
%
% Last modified on 06/26/2012
% by Jing Chen